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Finding the Fourth Proportional to 420,210.75, 630,321.60 and 139,728

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Solution

The fourth proportional to 420,210.75, 630,321.60 and 139,728 is: 209,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,210.75 : 630,321.60 = 139,728 : x
  2. Step 2: Convert to fraction form
    420,210.75/630,321.60 = 139,728/x
  3. Step 3: Cross multiply
    420,210.75x = 630,321.60 × 139,728
  4. Step 4: Simplify right side
    420,210.75x = 88,073,576,524.80
  5. Step 5: Solve for x
    x = 88,073,576,524.80/420,210.75
  6. Step 6: Final answer
    x = 209,593.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.